Research Article
Binary Equilibrium Optimization Algorithm for Computing Connected Domination Metric Dimension Problem
Table 2
Results on path graph Pn.
| Path graph |
| N | M | | BEOA | BGWO | BPSO | BWO | BSMO | BGO | BAEO | BEHO |
| 4 | 3 | γcr | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | t (sec) | 21.1 | 32.3 | 29.8 | 43.2 | 27.9 | 58.1 | 46.3 | 53.2 | Iteration | 1 | 1 | 1 | 2 | 1 | 3 | 2 | 2 |
| 5 | 4 | γcr | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | t (sec) | 57.2 | 65.1 | 43.9 | 65.9 | 33.1 | 76.8 | 89.1 | 81.7 | Iteration | 2 | 6 | 3 | 8 | 2 | 7 | 10 | 8 |
| 6 | 5 | γcr | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | t (sec) | 94.7 | 151.8 | 127.4 | 189.6 | 114.9 | 235.7 | 218.6 | 256.1 | Iteration | 4 | 9 | 24 | 15 | 10 | 39 | 28 | 41 |
| 7 | 6 | γcr | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | t(sec) | 135.9 | 196.1 | 211.6 | 269.4 | 173.2 | 291.8 | 265.1 | 379.7 | Iteration | 9 | 38 | 32 | 18 | 26 | 43 | 29 | 51 |
| 8 | 7 | γcr | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | t (sec) | 227.6 | 212.4 | 284.2 | 376.6 | 218.1 | 325.7 | 337.5 | 412.9 | Iteration | 12 | 15 | 45 | 39 | 18 | 52 | 35 | 49 |
| 9 | 8 | γcr | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | t(sec) | 159.1 | 281.2 | 324.1 | 428.2 | 292.1 | 417.7 | 421.6 | 563.2 | Iteration | 8 | 52 | 23 | 47 | 28 | 63 | 40 | 31 |
| 10 | 9 | γcr | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | t(sec) | 194.6 | 338.3 | 369.5 | 491.7 | 350.6 | 501.9 | 547.4 | 612.9 | Iteration | 23 | 76 | 16 | 59 | 42 | 0 | 29 | 63 |
| 11 | 10 | γcr | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | t(sec) | 238.2 | 391.7 | 412.1 | 570.3 | 211.4 | 588.1 | 682.9 | 659.1 | Iteration | 16 | 31 | 49 | 35 | 56 | 73 | 81 | 24 |
| 12 | 11 | γcr | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | t(sec) | 304.9 | 473.7 | 554.03 | 635.9 | 398.5 | 657.4 | 739.5 | 745.8 | Iteration | 40 | 67 | 72 | 84 | 34 | 62 | 83 | 56 |
| 13 | 12 | γcr | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | t(sec) | 279.5 | 592.6 | 386.8 | 719.1 | 490.3 | 745.8 | 823.6 | 869.9 | Iteration | 24 | 28 | 40 | 92 | 77 | 54 | 69 | 128 |
| 14 | 13 | γcr | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | t(sec) | 196.4 | 689.8 | 716.5 | 835.1 | 583.6 | 809.4 | 904.7 | 972.6 | Iteration | 13 | 39 | 84 | 71 | 55 | 104 | 90 | 62 |
| 15 | 14 | γcr | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | t(sec) | 232.8 | 794.4 | 819.2 | 903.6 | 668.19 | 916.3 | 1071.5 | 1057.2 | Iteration | 37 | 56 | 92 | 80 | 48 | 74 | 141 | 97 |
| 16 | 15 | γcr | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | t(sec) | 327.5 | 862.07 | 1045.99 | 1134.2 | 805.37 | 1089.5 | 1167.2 | 1196.1 | Iteration | 28 | 75 | 56 | 68 | 39 | 106 | 129 | 83 |
| 17 | 16 | γcr | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | t(sec) | 253.9 | 949.2 | 1112.7 | 1285.3 | 928.7 | 1175.3 | 1342.6 | 1308.9 | Iteration | 11 | 63 | 80 | 68 | 39 | 106 | 129 | 83 |
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